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Finding the Third Proportional to 255,013 and 560,354

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Solution

The third proportional to 255,013 and 560,354 is: 1,231,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,013 : 560,354 = 560,354 : x
  2. Step 2: Convert to fraction form
    255,013/560,354 = 560,354/x
  3. Step 3: Cross multiply
    255,013x = 560,354 × 560,354
  4. Step 4: Simplify right side
    255,013x = 313,996,605,316
  5. Step 5: Solve for x
    x = 313,996,605,316/255,013
  6. Step 6: Final answer
    x = 1,231,296.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.